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Finding the Fourth Proportional to 4,647.35, 6,971.60 and 1,527.70

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Solution

The fourth proportional to 4,647.35, 6,971.60 and 1,527.70 is: 2,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.35 : 6,971.60 = 1,527.70 : x
  2. Step 2: Convert to fraction form
    4,647.35/6,971.60 = 1,527.70/x
  3. Step 3: Cross multiply
    4,647.35x = 6,971.60 × 1,527.70
  4. Step 4: Simplify right side
    4,647.35x = 10,650,513.32
  5. Step 5: Solve for x
    x = 10,650,513.32/4,647.35
  6. Step 6: Final answer
    x = 2,291.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.